Author profile: Domínguez Benavides, Tomás
Institutional data
| Name | Domínguez Benavides, Tomás |
| Department | Análisis Matemático |
| Knowledge area | Análisis Matemático |
| Professional category | Profesor Emérito |
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Statistics
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No. publications
41
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No. visits
5651
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No. downloads
9496
| Publications |
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Article
 Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
(Springer, 2021)
This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, ... |
Final Degree Project
Operadores No Acotados en Espacios de Hilbert y su relación con la Mecánica Cuántica
(2020)
El objetivo principal de este trabajo es el de desarrollar una demostración del Teorema Espectral de Operadores Autoadjuntos ... |
Article
Komlós' Theorem and the Fixed Point Property for affine mappings
(American Mathematical Society, 2018)
Assume that X is a Banach space of measurable functions for which Koml´os’ Theorem holds. We associate to any closed convex ... |
Final Degree Project
Suavidad, convexidad, dualidad y renormamientos
(2017)
The goal of this Bachelor thesis is to study some specifical geometric properties, which are related to the convexity and ... |
Article
Some renormings with the stable fixed point property
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2013)
In this paper, we prove that for any number λ < (√33−3)/2, any separable space X can be renormed in such a way that X ... |
Article
Some questions in metric fixed point theory, by A. W. Kirk, revisited
(Springer Open, 2012)
In this survey, we comment on the current status of several questions in Metric Fixed Point Theory which were raised by W. A. Kirk in 1995. |
Article
Some generalizations of Kannan's fixed point theorem in K-metric spaces
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2012)
We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. ... |
| Article |
PhD Thesis
Genericity of the fixed point property under renorming.
(2010)
Una aplicaci on T de nida de un espacio m etrico M en M se dice no expansiva si d(Tx; Ty) d(x; y) para todo x; y 2 M. ... |
Article
The Szlenk index and the fixed point property under renorming
(Springer Open, 2010)
Assume that X is a Banach space such that its Szlenk index Sz X is less than or equal to the first infinite ordinal ω. We ... |
Article
Does Kirk’s theorem hold for multivalued nonexpansive mappings?
(Springer Open, 2010)
Fixed Point Theory for multivalued mappings has many useful applications in Applied Sciences, in particular, in Game Theory ... |
Article
The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings
(Elsevier, 2006)
The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mappings in a particular ... |
| PhD Thesis |
Article
Fixed point theorems for multivalued mappings in modular function spaces
(International Society of Mathematical Sciences, 2006)
The purpose of this paper is to study the existence of fixed points for multivalued nonexpansive mappings in modular ... |
Article
Fixed points of nonexpansive mappings in spaces of continuous functions
(American Mathematical Society, 2005)
Let K be a compact metrizable space and C(K) the Banach space of all real continuous functions defined on K with the maximum ... |
Article
Weak compactness and fixed point property for affine mappings
(Elsevier, 2004)
It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if it has the generic fixed ... |
Article
Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions
(Elsevier, 2004)
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial ... |
Article
Asymptotic centers and fixed points for multivalued nonexpansive mappings
(Maria Curie-Skłodowska University, 2004)
Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued ... |
Article
Non-expansive mappings in spaces of continuous functions
(Universidad de Extremadura, 2004)
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Article
Matrices de Hadamard
(Sociedad Española de Matemática Aplicada, 2003)
Se definen las matrices de Hadamard y se indican algunos problemas referentes a su existencia, construcción y unicidad. ... |
Article
Complete characterizations of Kadec-Klee properties in Orlicz spaces
(University of Houston, 2003)
We study the connections between the Kadec-Klee property for local convergence in measure H`, the Kadec-Klee property for ... |
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Article
Asymptotically nonexpansive mappings in modular function spaces
(Elsevier, 2002)
In this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a ∆2-type condition, C a convex, ... |
PhD Thesis
Algunos teoremas métricos del punto fijo determinísticos y aleatorios
(2002)
"En el Capítulo 1 de la Memoria se recoge la información que consideramos necearia para la valoración y compresión de los ... |
Article
Geometric properties of Banach spaces and metric fixed point theory
(Universidad de Extremadura, 2002)
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Article
Uniformly Lipschitzian mappings in modular function spaces
(Elsevier, 2001)
Let ρ be a convex modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. Assume that C ... |
PhD Thesis
La teoría del punto fijo en espacios funcionales modulares
(2001)
La teoría del punto fijo ha sido extensamente desarrollada en los espacios de Banach y los espacios métricos, Los espacios ... |
Article
Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
(American Mathematical Society, 2001)
Let X be a Banach space, C a weakly compact convex subset of X and T : C → C an asymptotically nonexpansive mapping. Under ... |
Article
Asymptotically regular mappings in modular function spaces
(Japanese Association of Mathematical Sciences, 2001)
Let ρ be a modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. The main result in this ... |
PhD Thesis
Estabilidad de la propiedad del punto fijo para aplicaciones no-expansivas
(1998)
La teoría métrica del punto fijo estudia la existencia de dichos puntos para aplicaciones definidas en un espacio métrico ... |
Article
The τ-fixed point property for nonexpansive mappings
(1998)
Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point property (τ-FPP) if every nonexpansive ... |
| PhD Thesis |
Article
A geometrical coefficient implying the fixed point property and stability results
(University of Houston, 1996)
In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed point property for ... |
Article
Qualitative and quantitative properties for the space ℓp,q
(University of Houston, 1996)
The space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp ... |
Article
Some geometric properties concerning fixed point theory
(Universidad Complutense de Madrid, 1996)
The Fixed Point Theory for nonexpansive mappings is strongly based upon the geometry of the ambient Banach space. In section ... |
PhD Thesis
Relaciones entre operadores asociados a distintas medidas de no compacidad
(1993)
El objeto fundamental del trabajo es investigar las relaciones existentes entre operadores contractivos para distintas ... |
Article
Connections between some measures of non-compactness and associated operators
(Universidad de Extremadura, 1990)
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the d-separation ... |
PhD Thesis
Teoría del grado multivaluado
(1987)
El primero de los capítulos recoge únicamente los resultados que hemos tenido que utilizar para el desarrollo del trabajo que se presentas, estos resultados han sido extraídos fundamentalmente del libro de K. Deimling (6). |
Article
Aplicaciones de las categorías de Baire a la existencia de solución de una ecuación diferencial en un espacio de Banach
(Real Academia de Ciencias Exactas, Físicas y Naturales, 1981)
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Article
Continuous dependence for implicit differential equations in Banach spaces
(Universitat de Barcelona, 1980)
In this paper we derive an existence theorem for the implicit defferential equation F(t, x,x') = 0 ; x(to) = are where F ... |
PhD Thesis
Sistemas dinámicos en espacios vectoriales topológicos
(1975)
En la mayor parte de las aplicaciones de la Teoría de Sistemas Dinámicos (espacios de funciones, ecuaciones diferenciales, ... |